116 LearnersLast updated on May 26th, 2025
Square of 975
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 975.
What is the Square of 975
The square of a number is the product of the number with itself. The square of 975 is 975 × 975. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 975², where 975 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, 5² = 25; -5² = 25.
The square of 975 is 975 × 975 = 950625.
Square of 975 in exponential form: 975²
Square of 975 in arithmetic form: 975 × 975
How to Calculate the Value of Square of 975
The square of a number is multiplying the number by itself. So let’s learn how to find the square of a number. These are the common methods used to find the square of a number.
- By Multiplication Method
- Using a Formula
- Using a Calculator
By the Multiplication method
In this method, we will multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 975.
Step 1: Identify the number. Here, the number is 975.
Step 2: Multiplying the number by itself, we get, 975 × 975 = 950625.
The square of 975 is 950625.
Using a Formula (a²)
In this method, the formula, a² is used to find the square of the number, where 'a' is the number.
Step 1: Understanding the equation Square of a number = a²
a² = a × a
Step 2: Identifying the number and substituting the value in the equation.
Here, ‘a’ is 975 So: 975² = 975 × 975 = 950625
By Using a Calculator
Using a calculator to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of 975.
Step 1: Enter the number in the calculator Enter 975 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 975 × 975
Step 3: Press the equal to button to find the answer Here, the square of 975 is 950625.
Tips and Tricks for the Square of 975
Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students.
- The square of an even number is always an even number. For example, 6² = 36
- The square of an odd number is always an odd number. For example, 5² = 25
- The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9.
- If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2
- The square root of a perfect square is always a whole number. For example, √144 = 12.
Common Mistakes to Avoid When Calculating the Square of 975
Mistakes are common among kids when doing math, especially when it is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or swap the digits. To avoid this, students should double-check the answer. They can double-check by finding the square root of the solution they found. For example, the square of 25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors in using the formula.
The formula to find the square of the number is a². Instead, students may use 975² with (9 + 7 + 5)² or (900 + 70 + 5)². Students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25, and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses and do the operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 975
Problem 1
A rectangular garden has a length of 975 meters and a width of 1 meter. What is the area of the garden?
The area of a rectangle = length × width
So, the area of the garden = 975 × 1 = 975 m²
Explanation
The area of the rectangular garden is 975 m² because the area is length multiplied by width, which is 975 × 1 = 975 m².
Problem 2
A construction company is laying tiles in a square room with a side length of 975 feet. If the cost to tile one square foot is 10 dollars, how much will it cost to tile the entire room?
The length of the room = 975 feet
The cost to tile 1 square foot = 10 dollars
To find the total cost to tile, we find the area of the room,
Area of the room = area of the square = a²
Here a = 975
Therefore, the area of the room = 975² = 975 × 975 = 950625.
The cost to tile the room = 950625 × 10 = 9506250.
The total cost = 9506250 dollars
Explanation
To find the cost to tile the room, we multiply the area of the room by the cost to tile per square foot. So, the total cost is 9506250 dollars.
Problem 3
Find the area of a circle whose radius is 975 meters.
The area of the circle = 2,985,375.75 m²
Explanation
The area of a circle = πr²
Here, r = 975
Therefore, the area of the circle = π × 975² = 3.14 × 975 × 975 = 2,985,375.75 m².
Problem 4
The area of a square is 950625 cm². Find the perimeter of the square.
The perimeter of the square is 3900 cm.
Explanation
The area of the square = a²
Here, the area is 950625 cm²
The length of the side is √950625 = 975
Perimeter of the square = 4a
Here, a = 975
Therefore, the perimeter = 4 × 975 = 3900.
Problem 5
Find the square of 976.
The square of 976 is 952576
Explanation
The square of 976 is multiplying 976 by 976.
So, the square = 976 × 976 = 952576
FAQs on Square of 975
1.What is the square of 975?
2.What is the square root of 975?
3.Is 975 a prime number?
4.What are the first few multiples of 975?
5.What is the square of 974?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 975?
8.How do technology and digital tools in United States support learning Algebra and Square of 975?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 975.
- Base: In mathematics, the base is the number that is multiplied by itself when raised to a power. For example, in 975², 975 is the base.
- Exponent: The exponent indicates how many times the base is multiplied by itself. In 975², 2 is the exponent.
- Perfect Square: A perfect square is an integer that is the square of an integer. For example, 950625 is a perfect square because it is 975².
- Square Root: The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 950625 is ±975.
- Composite Number: A composite number is an integer that has more than two distinct positive divisors. For example, 975 is a composite number.
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Jaskaran Singh Saluja
About the Author
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
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